Least Common Multiple of 6896 and 6901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6896 and 6901 the smallest integer that is 47589296 that is divisible by both numbers.

Least Common Multiple (LCM) of 6896 and 6901 is 47589296.

LCM(6896,6901) = 47589296

LCM of 6896 and 6901

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6896 and 6901

LCM of 6896 and 6901 is 47589296

Least common multiple can be found by multiplying the highest exponent prime factors of 6896 and 6901. First we will calculate the prime factors of 6896 and 6901.

Prime Factorization of 6896


2 6896
2 3448
2 1724
2 862
431 431
1

Prime factors of 6896 are 2,431. Prime factorization of 6896 in exponential form is:

6896 = 24×4311

Prime Factorization of 6901


67 6901
103 103
1

Prime factors of 6901 are 67,103. Prime factorization of 6901 in exponential form is:

6901 = 671×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6896 and 6901.

LCM(6896,6901) = 24×671×1031×4311
LCM(6896,6901) = 47589296

Factors of 6896

List of positive integer factors of 6896 that divides 6896 without a remainder.

1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896

Factors of 6901

List of positive integer factors of 6901 that divides 6901 without a remainder.

1, 67, 103, 6901

Least Common Multiple of 6896 and 6901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6896 and 6901, than apply into the LCM equation.

GCF(6896,6901) = 1
LCM(6896,6901) = ( 6896 × 6901) / 1
LCM(6896,6901) = 47589296 / 1
LCM(6896,6901) = 47589296

Properties of LCM 6896 and 6901

(i) The LCM of 6901 and 6896 is associative

LCM of 6896 and 6901 = LCM of 6901 and 6896

Related Least Common Multiples of 6896

Related Least Common Multiples of 6901

Frequently Asked Questions on LCM of 6896 and 6901

1. What is the LCM of 6896 and 6901?

Answer: LCM of 6896 and 6901 is 47589296.

2. What are the Factors of 6896?

Answer: Factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896. There are 10 integers that are factors of 6896. The greatest factor of 6896 is 6896.

3. What are the Factors of 6901?

Answer: Factors of 6901 are 1, 67, 103, 6901. There are 4 integers that are factors of 6901. The greatest factor of 6901 is 6901.

4. How to Find the LCM of 6896 and 6901?

Answer:

Least Common Multiple of 6896 and 6901 = 47589296

Step 1: Find the prime factorization of 6896

6896 = 2 x 2 x 2 x 2 x 431

Step 2: Find the prime factorization of 6901

6901 = 67 x 103

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 47589296 = 2 x 2 x 2 x 2 x 67 x 103 x 431

Step 4: Therefore, the least common multiple of 6896 and 6901 is 47589296.